Аннотация:The problems studied here are relevant for an understanding of the functioning of hydrolytic enzyme molecules. These enzymes work like molecular machines breaking off the valence peptid bonds of substrates. In particular the role of Fermi resonance which is evident from a spectral lines of valence oscillations is studied. The influence of this resonance on valence splitting is discussed. It is shown that the breaking of these bonds has a higher probability, if the stochastic oscillations of atoms in catalytic groups at the active site have a large quality coefficient. We show that the corresponding low damping is essential for the Fermi resonance modes of these oscillations.